Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 182-185
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N. M. Gulevich. An estimation of deviation of fixed point set. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 182-185. http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a10/
@article{ZNSL_1993_208_a10,
author = {N. M. Gulevich},
title = {An estimation of deviation of fixed point set},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {182--185},
year = {1993},
volume = {208},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a10/}
}
TY - JOUR
AU - N. M. Gulevich
TI - An estimation of deviation of fixed point set
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1993
SP - 182
EP - 185
VL - 208
UR - http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a10/
LA - ru
ID - ZNSL_1993_208_a10
ER -
%0 Journal Article
%A N. M. Gulevich
%T An estimation of deviation of fixed point set
%J Zapiski Nauchnykh Seminarov POMI
%D 1993
%P 182-185
%V 208
%U http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a10/
%G ru
%F ZNSL_1993_208_a10
An estimate for the distance between a bounded set $B$ in a uniformly smooth Banach space and the fixed-point set of a nonexpanding mapping $T$ is given. It is assumed that an iteration of $T$ properly takes into $B$ the set of extremal points of $B$. Bibliography: 4 titles.